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Titlebook: Elliptic Functions according to Eisenstein and Kronecker; André Weil Book Dec 1998Latest edition Springer-Verlag Berlin Heidelberg 1976 Et

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https://doi.org/10.1007/978-3-322-91979-3er, this case provides, not merely an illuminating introduction to his theory, but also the simplest proofs for a series of results, originally discovered by Euler, which will have to be used later on.
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Finale: Allegro con brio to indicate how he wished it completed. Kronecker, having conceived ambitious plans for a vastly enlarged edifice, started, rather late in life, to dig deeper foundations but found time for little else. It is idle to speculate about the kind of continuation he had in mind; perhaps he did not know it himself.
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The Basic Elliptic Functionss of the points ., where . are integers. Then . is not real and may be written as ., where . and τ is in the upper half-plane; sometimes it will be convenient to write . for .. We write ... with . as defined in Chap. II, §7, and we will always take for . the branch given by q.=e(τ/2); we have |q|<1.
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Variation I Chap. II, § 5), much of Kronecker’s best work consists of such variations, although Kronecker could of course not refrain from adding some themes of his own to Eisenstein’s; this will be discussed in Chap. VII and VIII. In this chapter and the next one, we will stay closer to Eisenstein; as an exam
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